The RoC consider themselves the rightful "China" too. Some Taiwanese politicians have advocated declaring themselves an independent country but that's never been the official government position.
> The RoC consider themselves the rightful "China" too.
That's a minority/extremity opinion which isn't remotely prevalent even among those who feel intimate with China. It used to be the 'political-correct' belief held by the former authoritarian ruling party. But it's not considered a rational worldview anymore after its democratic modernization.